## Homology theory in the $$AST$$. III: Comparison with homology theories of Čech and Vietoris.(English)Zbl 0798.55005

Summary: [For the two preceding parts see ibid. 32, No. 1, 75-93 (1991; Zbl 0735.03032) and 33, No. 2, 353-372 (1992; Zbl 0761.55004).]
The isomorphism between our homology functor and those of Vietoris and Čech is proved. Introductory results on dimension are proved.

### MSC:

 55N35 Other homology theories in algebraic topology 20F99 Special aspects of infinite or finite groups

### Citations:

Zbl 0735.03032; Zbl 0761.55004